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1055656560 = 243574011567
BaseRepresentation
bin111110111011000…
…000101001110000
32201120101220120010
4332323000221300
54130222002220
6252430214520
735105634630
oct7673005160
92646356503
101055656560
114a1988442
12255654440
1313a92616a
14a02b86c0
1562a271e0
hex3eec0a70

1055656560 has 160 divisors (see below), whose sum is σ = 3751759872. Its totient is φ = 240537600.

The previous prime is 1055656559. The next prime is 1055656573. The reversal of 1055656560 is 656565501.

1055656560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556565602 = 2228821545342067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672897 + ... + 674463.

Almost surely, 21055656560 is an apocalyptic number.

1055656560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875879936).

1055656560 is an abundant number, since it is smaller than the sum of its proper divisors (2696103312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055656560 is a wasteful number, since it uses less digits than its factorization.

1055656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 1055656560 is about 32490.8688711152. The cubic root of 1055656560 is about 1018.2182658760.

The spelling of 1055656560 in words is "one billion, fifty-five million, six hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 401 420 560 802 840 1203 1567 1604 1680 2005 2406 2807 3134 3208 4010 4701 4812 5614 6015 6268 6416 7835 8020 8421 9402 9624 10969 11228 12030 12536 14035 15670 16040 16842 18804 19248 21938 22456 23505 24060 25072 28070 31340 32080 32907 33684 37608 42105 43876 44912 47010 48120 54845 56140 62680 65814 67368 75216 84210 87752 94020 96240 109690 112280 125360 131628 134736 164535 168420 175504 188040 219380 224560 263256 329070 336840 376080 438760 526512 628367 658140 673680 877520 1256734 1316280 1885101 2513468 2632560 3141835 3770202 4398569 5026936 6283670 7540404 8797138 9425505 10053872 12567340 13195707 15080808 17594276 18851010 21992845 25134680 26391414 30161616 35188552 37702020 43985690 50269360 52782828 65978535 70377104 75404040 87971380 105565656 131957070 150808080 175942760 211131312 263914140 351885520 527828280 1055656560